Work

Structure of semi-continuous $q$-tame persistence modules

Year: 2022

Type: article

Abstract: Using a result by Chazal, Crawley-Boevey and de Silva concerning radicals of persistence modules, we show that every lower semi-continuous q-tame persistence module can be decomposed as a direct sum of interval modules and that every upper semi-continuous q-tame persistence module can be decomposed as a product of interval modules.

Source: Homology Homotopy and Applications

DOI: 10.4310/hha.2022.v24.n1.a6

Author: Maximilian Schmahl

Institution: Heidelberg University

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3081267474

FWCI: 0.384

Cites: 12

Cited by: 4

Related to: 10